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Finding the Third Proportional to 360,360 and 519,084

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Solution

The third proportional to 360,360 and 519,084 is: 747,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,360 : 519,084 = 519,084 : x
  2. Step 2: Convert to fraction form
    360,360/519,084 = 519,084/x
  3. Step 3: Cross multiply
    360,360x = 519,084 × 519,084
  4. Step 4: Simplify right side
    360,360x = 269,448,199,056
  5. Step 5: Solve for x
    x = 269,448,199,056/360,360
  6. Step 6: Final answer
    x = 747,719.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.